198 / FIELDS OF INSTRUCTION Prerequisite: ISE 557. Analog computer techniques to study complex systems. Analog computer logic as an additional tool in problem solving. Boundary value problems and dynamic parameter optimization techniques. ISE 658-ANALOG-HYBRID SYSTEMS. 3 credits Prerequisite: ISE 657. Hybrid computer systems, both hardware and software. Sampling theory, quantizing theory, and error analysis. Hybrid computer techniques for solving partial differential equations and optimization problems. Examples of adaptive control systems. ISE 659-ADVANCED HYBRID COMPUTER TECHNIQUES. 3 credits Prerequisite: ISE 557. Hybrid computer techniques superior to digital or analog techniques. Boundary value, dynamic parameter optimization, fluid network simula- tion, optimal control and techniques such as random search, steepest ascent, gradient methods, dynamic programming, and the maximum principle. ISE 660-STATISTICAL QUALITY CONTROL. 3 credits Prerequisites: STA 442 or 607; ISE 571. Theoretical basis for control charts on variables and attributes data. Cumulative Sum Control Charts. Mathematics of sampling plans for attributes and variables. Bayesian decision rules. Evolutionary operation. ISE 661-STATISTICAL FORECASTING MODELS. 3 credits Prerequisites: ISE 401, STA 442. Classification of models for forecasting. Poly- nomial and autoregressive models. Estimation of model parameters. Analysis of industrial data. ISE 662-RELIABILITY THEORY. 3 credits Prerequisites: Matrix theory, STA 442, ISE 562. Reliability models as a function of system configurations. Reliability prediction for various underlying component failure laws. Sensitivity analysis. Models of interdependent systems. ISE 670-MATHEMATICAL METHODS OF OPERATIONS RESEARCH 1. 3 credits Prerequisites: Matrix theory, transform theory, probability theory. Topics covered include theory of queues, classical optimization, and linear programming. ISE 671-MATHEMATICAL METHODS OF OPERATIONS RESEARCH 2. 3 credits Prerequisite: ISE 670. Continuation of ISE 670. Dynamic programming, non- linear programming, the maximum principles, game theory, and decision theory. ISE 680-QUEUING THEORY. 3 credits Prerequisites: Matrix theory, transform theory, STA 660. Classification of queuing systems and waiting line problems. Model formulation. Analysis of selected systems. Applications to engineering systems. ISE 681-STOCHASTIC SERVICE SYSTEMS. 3 credits Prerequisite: ISE 670. Modeling of large-scale engineering systems. Input- output analysis. Methods of handling uncertainty. Optimum design. ISE 684-SYSTEMS ANALYSIS 1. 3 credits Prerequisites: ISE 402, STA 440, EE 474. Review of linear systems. State variable methods for system analysis. Techniques of modeling. Computer methods. Applica- tion to control problems. ISE 685-SYSTEMS ANALYSIS 2. 3 credits Prerequisite: ISE 684. Optimal control theory and system optimization tech- niques. Statistical methods of data analysis. Estimation theory. Kalman filtering. ISE 686-ADVANCED SYSTEMS DESIGN. 3 credits Prerequisites: ISE 685, ISE 671, EE 570. Application of the techniques of operations research, control theory and systems analysis to the design of systems. Completion of a design project.